Co-Ordinate Geometry — Flashcards
Telangana Board · Class 9 · Mathematics
20 flashcards for Co-Ordinate Geometry (Telangana Board Class 9 Mathematics) to test yourself on key terms and facts.
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Plot the point P(4, -3) on a coordinate plane and identify its quadrant.
Answer
Step 1: Start from origin (0,0). Step 2: Move 4 units right along positive X-axis. Step 3: From there, move 3 units down along negative Y-axis direction. Step 4: Mark point P(4, -3). Since x > 0 and y…
Find the coordinates of a point that is 5 units left of Y-axis and 2 units above X-axis.
Answer
Step 1: 5 units left of Y-axis means x-coordinate = -5. Step 2: 2 units above X-axis means y-coordinate = +2. Step 3: Coordinates are (-5, 2). This point lies in Quadrant II since x < 0 and y > 0.
What are the coordinates of the origin and on which axes does it lie?
Answer
Coordinates of origin = (0, 0). The origin lies on both X-axis and Y-axis simultaneously. It is the intersection point of both axes. Distance from both axes is zero, hence both coordinates are zero.
Identify the quadrant for each point: A(3,5), B(-2,4), C(-1,-3), D(6,-2)
Answer
A(3,5): x > 0, y > 0 → Quadrant I. B(-2,4): x < 0, y > 0 → Quadrant II. C(-1,-3): x < 0, y < 0 → Quadrant III. D(6,-2): x > 0, y < 0 → Quadrant IV. Remember: Q1(+,+), Q2(-,+), Q3(-,-), Q4(+,-)…
Write the equation of X-axis and Y-axis. Explain why.
Answer
X-axis equation: y = 0. Why? Every point on X-axis has y-coordinate = 0 (no distance from X-axis). Y-axis equation: x = 0. Why? Every point on Y-axis has x-coordinate = 0 (no distance from Y-axis). Ex…
Find the abscissa and ordinate of point Q(-7, 5).
Answer
Step 1: Identify x-coordinate (abscissa) = -7. Step 2: Identify y-coordinate (ordinate) = 5. Remember: In point (x,y), first value is abscissa (x-coordinate), second value is ordinate (y-coordinate).
Plot points A(2,3), B(2,-1), C(-3,3), D(-3,-1). What shape do they form?
Answer
Step 1: Plot A(2,3) in Q1, B(2,-1) in Q4, C(-3,3) in Q2, D(-3,-1) in Q3. Step 2: Join points in order. Step 3: AB is vertical (same x-coordinate), CD is vertical, AC is horizontal (same y-coordinate),…
Are points (3, -5) and (-5, 3) the same? Explain with plotting.
Answer
No, they are different. Point (3,-5): Move 3 right, 5 down → Quadrant IV. Point (-5,3): Move 5 left, 3 up → Quadrant II. This shows (x,y) ≠ (y,x) when x ≠ y. Coordinates are ordered pairs where sequen…
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